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The transient period for boundary layer disturbances. (English) Zbl 0992.76039
From the summary: The onset of transition in a boundary layer is dependent on the initialization and interaction of disturbances in a laminar flow. Here, theory and full Navier-Stokes simulations focus on the transient period just after disturbances enter the boundary layer. The temporal evolution of disturbances within a boundary layer is investigated by examining a series of initial value problems. In each instance, the complete spectra (i.e. the discrete and the continuum) are included, so that the solutions can be completely arbitrary. Both numerical and analytical solutions of the linearized Navier Stokes equations subject to arbitrary initial conditions are presented. The temporal evolution of disturbances during the transient period is compared with the spatial evolution of the same disturbances, and a strong correlation between the two approaches is demonstrated indicating that the theory may be used for the transient period of disturbance evolution.

MSC:
76F06 Transition to turbulence
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76E05 Parallel shear flows in hydrodynamic stability
76D05 Navier-Stokes equations for incompressible viscous fluids
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